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To draw a line through a given external point parallel to a given line. |
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To draw a line through a given external point parallel to a given line. |
| Given: Line AB and external point P. |
Required: To draw a line
through P 
AB |
| Procedure: |
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Place and label any point C on line AB |
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Use the ray command under the construct menu and construct ray CP |
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Label point D beyond P on ray CP |
At P, construct  DPF
congruent to PCB
(help) |
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Line PF is parallel to AB |
| Proof: |
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DPF = PCB |
PF is parallel to AB (If two lines form = corresponding angles
with a transversal, the lines are parallel) |
| Sketch: On the sketch below, why does the construction fall apart if you drag P below the given line? |
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This page uses JavaSketchpad, a World-Wide-Web component of The Geometer's Sketchpad. Copyright © 1990-2001 by KCP Technologies, Inc. Licensed only for non-commercial use. parallel line to given line |
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